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Finding the Fourth Proportional to 51,614, 77,434 and 14,678

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Solution

The fourth proportional to 51,614, 77,434 and 14,678 is: 22,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,614 : 77,434 = 14,678 : x
  2. Step 2: Convert to fraction form
    51,614/77,434 = 14,678/x
  3. Step 3: Cross multiply
    51,614x = 77,434 × 14,678
  4. Step 4: Simplify right side
    51,614x = 1,136,576,252
  5. Step 5: Solve for x
    x = 1,136,576,252/51,614
  6. Step 6: Final answer
    x = 22,020.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.